Profinite genus of fundamental groups of compact flat manifolds with the cyclic holonomy group of square-free order
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Genildo de Jesus Nery
Abstract
In this article, we study the extent to which an n-dimensional compact flat manifold with the cyclic holonomy group of square-free order may be distinguished by the finite quotients of its fundamental group. In particular, we display a formula for the cardinality of profinite genus of the fundamental group of an n-dimensional compact flat manifold with the cyclic holonomy group of square-free order.
Funding statement: The author held a CNPq scholarship during the preparation of this article.
Acknowledgements
The author wishes to express his thanks to Prof. Dr. Pavel Zalesskii for his valuable advice and several discussions.
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Articles in the same Issue
- Frontmatter
- The C*-algebra of the Boidol group
- Profinite genus of fundamental groups of compact flat manifolds with the cyclic holonomy group of square-free order
- Positive rigs
- Torus bundles over lens spaces
- Topological amenability of semihypergroups
- On projections of the tails of a power
- Li–Yorke chaos for composition operators on Orlicz spaces
- A note on the post quantum-Sheffer polynomial sequences
- Finite rigid sets of the non-separating curve complex
- Building planar polygon spaces from the projective braid arrangement
- Octonionic monogenic and slice monogenic Hardy and Bergman spaces
- Transcendence on algebraic groups
- An explicit version of Bombieri’s log-free density estimate and Sárközy’s theorem for shifted primes
- The ideal structure of partial skew groupoid rings with applications to topological dynamics and ultragraph algebras
- Joint distribution of the cokernels of random p-adic matrices II
Articles in the same Issue
- Frontmatter
- The C*-algebra of the Boidol group
- Profinite genus of fundamental groups of compact flat manifolds with the cyclic holonomy group of square-free order
- Positive rigs
- Torus bundles over lens spaces
- Topological amenability of semihypergroups
- On projections of the tails of a power
- Li–Yorke chaos for composition operators on Orlicz spaces
- A note on the post quantum-Sheffer polynomial sequences
- Finite rigid sets of the non-separating curve complex
- Building planar polygon spaces from the projective braid arrangement
- Octonionic monogenic and slice monogenic Hardy and Bergman spaces
- Transcendence on algebraic groups
- An explicit version of Bombieri’s log-free density estimate and Sárközy’s theorem for shifted primes
- The ideal structure of partial skew groupoid rings with applications to topological dynamics and ultragraph algebras
- Joint distribution of the cokernels of random p-adic matrices II
